Q. A motorboat in still water traveles at a speed of 36 kmph. It goes 56 km upstream in 1 hour 45 minutes. The time taken by it to cover the same distance down the stream will be :
Answer: 1 Hours 24 Minutes
Notes: Speed of the motorboat upstream =
$latex \frac{56 km}{1\frac{3}{4}hours} = \frac{56\times 4}{7} = 32 kmph&s=2$
Let the speed of the current be x kmph
∴ 36 - x = 32
$latex => x = 36 - 32 = 4 kmph$
Speed of motor boat downstream = 36 + 4 = 40 kmph
∴ Time taken to cover 56 km at 40 kmph = $latex \frac{56}{40} = \frac{7}{5}hours&s=1$
or 1 hours 24 minutes.
Hence option [B] is the right answer.