SBI PO Prelims 2017 – Data Interpretation Quiz – 6

Questions [1-5]:
Two Trains A and B are travelling in opposite directions from station X to
station Y and from station Y to station X, respectively. The following graphs
give the cumulative distance covered by the trains at hourly intervals,
beginning with the first hour. Refer to the data and answer the questions that
follow.

Q 1. If the two trains crossed each other at 5:00 PM, what
is the distance between the two stations?

(1) 375

(2) 440

(3) 410

(4) 350

(5) None of these

Q 2. What is the ratio of average speed of Train A to that
of Train B?

(1) 28:33

(2) 25:82

(3) 25:29

(4) 35:33

(5) None of these

Q 3. If the train A continues at the average speed during
its final hour mentioned above, at what time will it reach the station from
which the train B started?(If the two trains crossed each other at 5:00 PM)

(1) 11:25 PM

(2) 11:20 PM

(3) 11:15 PM

(4) 9:10 PM

(5) None of these

Q 4. Which of the following statement is true for the graph?
(Use data of previous question)

A. The distance covered by train A between 6 pm and 7 pm is
equal to the distance covered by train B between 1 pm and 2 pm

B. The distance covered by train A between 11 am and 12 pm
is equal to the distance covered by train B between 4 pm and 5 pm

C. If train B continues at the average speed of its final
hour mentioned above, the train B will reach the station X after 1 h 30 min

(1) Only A

(2) Only B

(3) A, B, and C

(4) A and B

(5) B and C

Q 5. I between 12 pm and 3 pm, train A travelled at a speed
of 40 km/h, for how long had it stopped between 12 pm and 3 pm?

(1) 120 min

(2) 105 min

(3) 90 min

(4) 60 min

(5) None of these

 Answers:

Explanations:

1. By 5 pm, when the two trains meet each other, the train A
and train B, respectively 200 km and 175 km.

Thus, the total distance is = 200 + 175 = 375 km

2. Average speed of Train A = 250/9 km/h

Average speed of Train B = 290/9 km/h

Required ratio = 250/9 x 9/290 = 25:29

3. Distance between the stations is 375 km of which 250 km
have been covered by the train A. Thus, the remaining distance is 125 km.

Average speed during final hour = (250-220)/1 = 30 km/h

Time taken = 125/30 = 4 h 10 min

Time at which A will reach the stations = 5 pm + 4 h 40 min
= 9:10 pm

4. A. Distance covered by train A between 6 pm and 7 pm = 30
km Distance covered by train B between 1 pm and 2 pm = 30 km

B. Distance covered by train A between 11 am and 12 pm = 35
km Distance covered by train B between 4 pm and 5 pm = 35 km

C. Since, 290 km have been covered by train B and we already
obtained that total distance is 375 km. So, the remaining distance is 85 km

Average speed during final hour = (290 – 240)/1 = 50 km/h

Time required = 85/50 = 1 h 42 min

Statement C is false.

5. Total time period = 3 h

And the distance during this = 120 – 60 = 60 km

Average speed of 40 km/h, travel time = 60 h/40 = 3/2 h

Time of stoppage = 3-3/2 = 3/2 = 90 min