A man can row 10 km downstream in 15 minutes and the same distance upstream in 20 minutes. Find the speed of the boat in still water and the speed of the stream.
Answers
The distance covered by the man downstream in 15 minutes = 10 km, so the distance covered downstream in 60 minutes = 40km. Hence the downstream speed = d = 40 km/hr
The distance covered upstream in 20 minutes = 10 km, so the distance covered downstream in 60 minutes = 30 km. Hence the upstream speed = u = 30 km/hr.
The speed of the boat = (d+u)/2 = (40+30)/2 = 35km/hr
The speed of the stream = (d-u)/2 = (40-30)/2 =10/2 = 5km/hr
Answer:
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Step-by-step explanation:
=> The distance covered by the man downstream in 15 minutes = 10 km,
=> so
=> the distance covered downstream in 60 minutes = 40km.
=> Hence
=> the downstream speed = d = 40 km/hr
=> The distance covered upstream in 20 minutes = 10 km,
=> so
=> the distance covered downstream in 60 minutes = 30 km.
=> Hence
=> the upstream speed = u = 30 km/hr.
=> The speed of the boat = (d+u)/2 = (40+30)/2 = 35km/hr
=> The speed of the stream = (d-u)/2 = (40-30)/2 =10/2 = 5km/hr
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