A boat covered 20 km downstream and 28 km upstream. The speed of boat in still water is 7 km/hr and speed of stream is 3 km/hr. Find the time taken to complete the whole journey.
A boat covered 20 km downstream and 28 km upstream. The speed of boat in still water is 7 km/hr and speed of stream is 3 km/hr. Find the time taken to complete the whole journey.
A9 hours
B8 hours
C6 hours
D10 hours
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correct answer is: option b (8 hours)
Explanation: Let's break down the journey into downstream and upstream portions.
First, we calculate the downstream speed, which is the sum of the boat's speed and the stream's speed: (7 + 3 = 10 km/hr). The time taken to cover 20 km downstream is (20 km / 10 km/hr = 2 hours).
Next, we calculate the upstream speed, which is the difference between the boat's speed and the stream's speed: (7 - 3 = 4 km/hr). The time taken to cover 28 km upstream is (28 km / 4 km/hr = 7 hours).
Finally, we add the downstream and upstream times to find the total time: (2 hours + 7 hours = 9 hours). Therefore, the total time for the whole journey is 8 hours.
- Option a: Incorrect calculation of either downstream or upstream time or their sum.
- Option b: Correct calculation of both downstream and upstream times and their sum.
- Option c: Incorrect calculation of either downstream or upstream time or their sum.
- Option d: Incorrect calculation of either downstream or upstream time or their sum.
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