Question : The downstream speed of a boat is 25 km/ hr and the speed of a stream is 3 km/hr. What will be the total time taken by the boat to cover 100 km downstream and 57 km upstream?
Option 1: 10 hours
Option 2: 7 hours
Option 3: 10.5 hours
Option 4: 8 hours
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Correct Answer: 7 hours
Solution :
Downstream speed of a boat = 25 km/hr
Distance travelled downstream = 100 km
$\therefore$ Time taken to travel downstream = $\frac{100}{25}$ = 4 hours
Speed of a stream = 3 km/hr
The upstream speed of the boat = 25 – (2 × 3) = 19 km/hr
Distance travelled upstream = 57 km
$\therefore$ Time taken to travel upstream = $\frac{57}{19}$ = 3 hours
Total time taken = 4 + 3 = 7 hours
Hence, the correct answer is 7 hours.
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