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Q.
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
A.
7:4
B.
11:4
C.
4:7
D.
8:3
View Answer
Correct choice: D
Explanation:
Let the speed of the boat upstream be p kmph and that of downstream be q kmph Time for upstream = 8 hrs 48 min = 845hrs Time for downstream = 4 hrs Distance in both the cases is same. => p x 845 = q x 4 => 44p/5 = 4q => q = 11p/5 Now, the required ratio of Speed of boat : Speed of water current = q+p/2:q−p/2 => (11p/5 + p)/2 : (11p/5 - p)/2 => 8 : 3
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