Instructions

Study the data given below and answer the following questions. The pie charts shown below shows the distance covered by a boat moving upstream and downstream indifferent days of a week. And the table shows the speed of stream in km/hr. in different days of a week.

Question 5

If the time taken by boat to travel upstream on Friday is 30 hours more than the time taken by it to travel downstream on Wednesday and the speed of boat in still water on Friday is 17 kmph, then find the upstream speed of boat on Wednesday? (speed of boat in still water is different on different days)

Solution

Upstream on Friday = 14% of 4800 = 0.14 × 4800 = 672 Km

Downstream on Wednesday = 11% of 2400 = 0.11 × 2400 = 264 Km

Friday speeds: still-water = 17 km/hr, stream on Friday = 1 km/hr (given)

upstream speed on Friday = 17−1 = 16 km/hr.

Time upstream on Friday = 672/16 = 42 hours.

Let Wednesday still-water speed be x km/hr

Stream on Wednesday = 6 km/hr (given).

Downstream speed on Wednesday = S + 6

Time downstream on Wednesday = 264/(S+6)

Time upstream on Friday = Time Downstream on Wednesday + 30

$$42=\dfrac{264\ }{S+6}+30$$

Upon solving, we get S = 16 km/hr

Upstream speed on Wednesday = S - stream = 16−6=10 km/hr.

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