Sheela can row upstream 80 km in 5 hours and downstream 104 km in 4 hours.Then the speed of the current will be
Answers
Given : Sheela can row upstream 80 km in 5 hours and downstream 104 km in 4 hours.
To find : The speed of the current
Solution:
Speed of boat in still water = x km/hr
Speed of the current = y km/hr
upstram speed = x - y km/hr
downstream speed = x + y km/hr
Speed = Distance / time
=> x - y = 80/5
=> x- y = 16
x + y = 104/4
=> x + y = 26
x- y = 16
x + y = 26
=> 2y = 10
=> y =5
The speed of the current 5 km/hr
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Solution :-
Let us assume that, speed of boat is x km/h and speed of current is y km/h .
So,
→ Upstream speed = (x - y) km/h
→ Downstream speed = (x + y) km/h .
then,
→ Upstream speed = Distance / Speed
→ (x - y) = 80/5
→ x - y = 16 ------ Eqn.(1)
and,
→ Downstream speed = Distance / Speed
→ (x + y) = 104/4
→ x + y = 26 ------ Eqn.(2)
adding both Eqn we get,
→ x - y + x + y = 26 + 16
→ 2x = 42
→ x = 21 km/h
therefore,
→ 21 - y = 16
→ y = 21 - 16
→ y = 5 km / h (Ans.)
Hence, the speed of the current will be 5 km/h .
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