A man goes down stream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the strean are 10km/hr and 14km/hr respectively, the distance of the destination from the string place is

Q: A man goes down stream with a boat to some destination and returns upstream to his original place in 5 hours. If the speed of the boat in still water and the strean are 10km/hr and 14km/hr respectively, the distance of the destination from the strin…

Let the distance covered be D km. D 10 + 4 + D 10 - 4 = 5 D 14 + D 6 = 5 10D = 42 x 5 = 210 => D = 21 km

16 km
18 km
21 km
25 km

Correct Answer: 21 km

Explanation:

Let the distance covered be D km.

$\frac{D}{10 + 4} + \frac{D}{10 - 4} = 5$

$\frac{D}{14} + \frac{D}{6} = 5$

10D = 42 x 5 = 210

=> D = 21 km

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