The speed of a boat in still water is $15 ext{ kmph}$ and the speed of the current is $3 ext{ kmph}$. If the boat covers $108 ext{ km}$ downstream, what distance can it cover upstream in the same amount of time? (In km)

Question

The speed of a boat in still water is $15 	ext{ kmph}$ and the speed of the current is $3 	ext{ kmph}$. If the boat covers $108 	ext{ km}$ downstream, what distance can it cover upstream in the same amount of time? (In km)

Accepted Answer

**Solution:**

1. Calculate the downstream speed of the boat:
   - Downstream speed = Speed of boat in still water + Speed of current
   - $15 + 3 = 18 	ext{ kmph}$

2. Calculate the time taken to cover $108 	ext{ km}$ downstream:
   - Time = Distance / Speed
   - $\frac{108}{18} = 6 	ext{ hours}$

3. Calculate the upstream speed of the boat:
   - Upstream speed = Speed of boat in still water - Speed of current
   - $15 - 3 = 12 	ext{ kmph}$

4. Calculate the distance covered upstream in the same time:
   - Distance = Speed $	imes$ Time
   - $12 	imes 6 = 72 	ext{ km}$

**Answer:** $72$

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