*Hello and welcome to ***exampundit**. Here is set on Time and Distance with detailed solutions on the chapterwise Quantitative Aptitude Word problems for the upcoming SBI PO Prelims 2017.

1. In a

zoo, there was a cheetah and a tiger walking in 2 different rings of same

radii. Ramu observed that when cheetah moved 3 steps, tiger moved 5 steps in

the same time, but the distance traversed by cheetah in 5 steps equals to the

distance traversed by tiger in 4 steps. What is the number of rounds that a

cheetah made when tiger completed 100 rounds?

zoo, there was a cheetah and a tiger walking in 2 different rings of same

radii. Ramu observed that when cheetah moved 3 steps, tiger moved 5 steps in

the same time, but the distance traversed by cheetah in 5 steps equals to the

distance traversed by tiger in 4 steps. What is the number of rounds that a

cheetah made when tiger completed 100 rounds?

1) 120

2) 48

3) 75

4) 65

5) None

2. Devnath

express left Ajmer for Goa. 2 hours later Gopalpur express left from Ajmer to Goa.

Both trains reached Goa simultaneously. If Devnath express had started from

Ajmer and Gopalpur express had started from Goa at the same time and travelled

towards each other they would meet in 1 h 20 min. find the time taken by

Devnath express to travel from Ajmer to Goa in hours?

express left Ajmer for Goa. 2 hours later Gopalpur express left from Ajmer to Goa.

Both trains reached Goa simultaneously. If Devnath express had started from

Ajmer and Gopalpur express had started from Goa at the same time and travelled

towards each other they would meet in 1 h 20 min. find the time taken by

Devnath express to travel from Ajmer to Goa in hours?

1) 5

2) 2

3) 4

4) 6

5) 8

3. Ramlal,

a hunter fired 2 shots from a tree top at an interval of 76 seconds. A cheetah

in motion in a very fast speed hears the 2 shots at an interval of 83 seconds.

If the velocity of the sound is 1327 kmph, find the speed of the cheetah?

a hunter fired 2 shots from a tree top at an interval of 76 seconds. A cheetah

in motion in a very fast speed hears the 2 shots at an interval of 83 seconds.

If the velocity of the sound is 1327 kmph, find the speed of the cheetah?

1) 112.8

kmph

kmph

2) 111.91

kmph

kmph

3) 80.16

kmph

kmph

4) 78 kmph

5) None

4. Roy and

john start from Goa and Pune respectively with uniform velocities. Roy is

headed to Pune and john to Goa and both cities are 600 km distant. Roy rests

while john is on the move and john rests while roy is on the move. Roy’s

speed is 25 kmph and joghn’s speed is

30kmph. If roy starts first and reaches Pune in 36 hours, then find the least

time taken by john to reach Goa after Roy starts the journey?

john start from Goa and Pune respectively with uniform velocities. Roy is

headed to Pune and john to Goa and both cities are 600 km distant. Roy rests

while john is on the move and john rests while roy is on the move. Roy’s

speed is 25 kmph and joghn’s speed is

30kmph. If roy starts first and reaches Pune in 36 hours, then find the least

time taken by john to reach Goa after Roy starts the journey?

1) 20hrs

2) 54hrs

3) 36hrs

4) 44hrs

5) 40hrs

5. Number

of units of a good that can be produced by a factory is directly proportional

to the square of the number of workers, square root of the number of machines

and to the number of hours put in. The factory produces 200 goods when 4 people

work for 8 hours each with 4 machines. When 3 people work for 12 hours each

with 9 machines, how many goods will be produced?.

of units of a good that can be produced by a factory is directly proportional

to the square of the number of workers, square root of the number of machines

and to the number of hours put in. The factory produces 200 goods when 4 people

work for 8 hours each with 4 machines. When 3 people work for 12 hours each

with 9 machines, how many goods will be produced?.

1) 24/31

2) 25/32

3) 51/68

4) 34/78

5) None

6. A fill

pipe can fill a tank in 20 hours, an outlet can drain a tank in 30 hours. If a

system of n pipes including inlet and outlet pipes can fill the tank in exactly

5 hours, which of the following are possible values of n (More than one option

could be correct)?

pipe can fill a tank in 20 hours, an outlet can drain a tank in 30 hours. If a

system of n pipes including inlet and outlet pipes can fill the tank in exactly

5 hours, which of the following are possible values of n (More than one option

could be correct)?

(1) 32

(2) 54 (3)

29 (4) 40

(2) 54 (3)

29 (4) 40

1) 1 and 2

only

only

2) 1 and 3

only

only

3) 2 and 4

only

only

4) 2 and 3

only

only

5) None

7. Two boys

begin together to write out note containing 535 lines. The first boy starts

with the first line, writing at the rate of 100 lines an hour; and the second

starts with the last line then writes line 534 and so on, backward proceeding

at the rate of 50 lines an hour. At what line will they meet?

begin together to write out note containing 535 lines. The first boy starts

with the first line, writing at the rate of 100 lines an hour; and the second

starts with the last line then writes line 534 and so on, backward proceeding

at the rate of 50 lines an hour. At what line will they meet?

1) 356

2) 277

3) 357

4) 267

5) None

**Answers & Solutions**– Tap to show

1. Ans-2

Ratio of

speeds=ratio of distances when time is constant

speeds=ratio of distances when time is constant

Ratio of

distances by cheetah and tiger=12:25

distances by cheetah and tiger=12:25

Ratio of

rounds made = 12:25

rounds made = 12:25

Hence

cheetah makes 48 rounds when tiger makes 100 (multiplied by 4)

cheetah makes 48 rounds when tiger makes 100 (multiplied by 4)

2. Ans-3

Let Devnath

express takes x hours and Gopalpur express takes x-2 hours

express takes x hours and Gopalpur express takes x-2 hours

1/x

+1/(x-2)

+1/(x-2)

=60/80=>x=4h

3. Ans-2

In case of

increasing gap between 2 objects,

increasing gap between 2 objects,

Speed of

sound/speed of cheetah=time utilized/difference in time

sound/speed of cheetah=time utilized/difference in time

=>1327/x=83/7

=>x=111.91

kmph

kmph

4. Ans-4

Time taken

by roy=36 h

by roy=36 h

Ideal time

required by roy= 600/25=24h

required by roy= 600/25=24h

roy rests

for 36-24=12h

for 36-24=12h

Required

time for john=600/30=20h

time for john=600/30=20h

But john

utilized those 12 hours in which roy rests, so he needs only 20-12 = 8 hours

extra

utilized those 12 hours in which roy rests, so he needs only 20-12 = 8 hours

extra

Thus total

time by john=36+8=44

time by john=36+8=44

5. Ans-2

Goods α

workers 2

workers 2

α num of machines ½

α

hours

hours

200 α 42

*41/2 * 8 =16x2x8=256

*41/2 * 8 =16x2x8=256

200=k256

K

=200/256=25/32

=200/256=25/32

6. Ans-4

3 fill

pipes cancel out 2 drain pipes. We need extra 4 fill pipes to fill the tank in

5 hours. so the answer has to be 5k + 4.

Both 54 and 29 are possible.

pipes cancel out 2 drain pipes. We need extra 4 fill pipes to fill the tank in

5 hours. so the answer has to be 5k + 4.

Both 54 and 29 are possible.

7. Ans-3

Writing

ratio = 100 : 50 = 2 : 1

As equal quantities are taken, in a given time, first boy will be writing the

line number

ratio = 100 : 50 = 2 : 1

As equal quantities are taken, in a given time, first boy will be writing the

line number

2/3*535=356

2/3

2/3

or the 357th line

Hence, both of them shall meet on 357th line

####
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