A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes, while it can go 5.4 km upstream and 3.6 km downstream in 58.5 minutes. The time (in minutes) taken by the boat in going 10 km downstream is:
Answer & explanation
Correct answer: option 2
Let ,
U = upstream and D = downstream
3.6(U) + 5.4(D) = 54 and 5.4(U) + 3.6(D) = 58.5
Divide by 18
2U + 3D = 30 and 3U + 2D = 32.5
Now, Multiply by 3 in (1) and by 2 in (2), and then subtract (2) from (1), then
5D = 25 min
10D = 50 min