A barge takes 4 hours to move (at a constant rate) downstream for 32 kilometers, helped by a current of 2 kilometers per hour. If the barge's engines are set at the same pace, find the time of its return trip against the current.
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let the speed of the barge be x km/hr
distance travelled be barge downstream = 32 km
time taken= 4 hours
speed of stream= 2km/hr
total speed=(2+x)km/hr
total speed= distance/time
2+x=32/4
2+x=8
x=8-2
x=6km/hr
speed of barge=6km/hr
speed of upstream=(6-2)km/hr=4 km/hr
speed in upstream=distance/time
let time be t
4=32/t
t=32/4
t=8hr
time taken = 8hours
distance travelled be barge downstream = 32 km
time taken= 4 hours
speed of stream= 2km/hr
total speed=(2+x)km/hr
total speed= distance/time
2+x=32/4
2+x=8
x=8-2
x=6km/hr
speed of barge=6km/hr
speed of upstream=(6-2)km/hr=4 km/hr
speed in upstream=distance/time
let time be t
4=32/t
t=32/4
t=8hr
time taken = 8hours
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