Hello and welcome to exampundit. Here is a set of Data Interpretation Quiz on Boats & Streams based on the pattern of SBI PO Mains 2017.
1. What is the difference of time taken by boat A to travel 240 km downstream and boat B to travel 120 km upstream?
1)20
2) 30
3)40
4) 50
5) None of these
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Option: 1
Explanation: Downstream speed of boat A= 14 + 10
= 24 kmph
24 km distance travelled in 1 hr by A
240 km distance travelled in= 240/24 = 10 hr
Upstream speed of boat B= 10 – 6
= 4 kmph
4 km distance travelled by B in 1 hr
120 km distance travelled in= 120/4= 30 hr
Diff= 30 – 10 = 20 hr
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2. What is the total time taken by Rahul to reach his destination by boat A and B both downstream and upstream?
1) 86.90
2) 86.455
3)173.93
4)172.92
5) None of these
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Option: 2
Explanation: Total distance travelled by Rahul= 1800 km
Distance covered by A= 1800 * 40/360
= 200 km
Time taken by boat A downstream = 200/( 10+14) = 8.33 hr
Upstream= 200/ ( 14-10) = 50 hr
Total time by A= 50+8.33= 58.33 hr
Distance covered by B= 1800 * 18/360
= 90 km
Time taken by boat B downstream= 90/ (10+6) = 5.625hr
Upstream= 90/(10-6) = 22.5 hr
Total time by B= 22.5+5.625= 28.125 hr
Total time taken by boat A and B= 58.33+28.125 = 86.455 hr
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3. If the speed of boat D is increased by 50% and the speed of stream decreases by 25% then what is the difference between time taken by the boat D upstream and boat C downstream?
1) 0.50
2) 1.80
3) 0.90
4) 2
5) None of these
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Option: 3
Explanation: Speed of boat D= 18 kmph
After increasing 50% the speed of boat D= 18 * 150/100 = 27 kmph
Speed of stream= 10 kmph
After decreasing 25% the speed is= 10 * 75/100 = 7.5 kmph
Distance covered by boat D= 1800 * 16/360 = 80 km
Time taken in upstream= 80/ (27-7.5) = 4.10 hr
Distance covered by boat C= 1800* 26/360 = 130 km
Time taken in downstream= 130/ (14+12) = 5 hr
Diff= 5-4.10 = 0.9 hr
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4. If the speed of boat E increases by 15% then what is the approximate time taken by Rahul to reach 500 km by boat E upstream?
1) 35
2) 36
3) 37
4) 38
5) None of these
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Option: 5
Explanation: Speed of boat E= 20 kmph
After increasing 15% the speed is= 20 * 115/100 = 23 kmph
Upstream speed of boat E= 23 – 10 = 13 kmph
Time taken to reach 500 km by boat E in upstream= 500/ 13= 38.46 hr ~ 39 hr
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5. What is the ratio of the time taken by boat A upstream to the time taken by boat C downstream?
1) 2:13
2) 3:10
3) 4:15
4) 3:16
5) None of these
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Option: 1
Explanation: Speed of boat A= 14 kmph
Speed of stream= 10 kmph
Upstream speed of boat A= 14-10 =4kmph
Speed of boat C= 14 kmph
Speed of stream= 12 kmph
Downstream speed of boat C= 14 + 12 = 26 kmph
Ratio= 4:26 = 2: 13
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(Speed in kmph)
Total distance traveled= 1800 km