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 4

The speed of boat in still water on Saturday was 21 km/hr. and that on Sunday was $$28\dfrac{4}{7}\%$$ more than that on Saturday, if the time taken by boat to travel upstream on Saturday is $$2\dfrac{1}{2}$$ times the time taken to travel downstream on Sunday, then find the time taken by the boat to cover a distance of 125 km upstream on Saturday?

Solution

The speed of the boat in still water on Saturday was 21 km/hr.

On Sunday, it was $$28\frac{4}{7}\%$$ which is 27 km/hr.

The time taken for the boat to travel downstream on Sunday while covering a distance of 288 km with a stream speed of 3 kmph was 9.6 hours.

The time taken to travel upstream on Saturday was 2.5 times this, which is 24 hours.

For an upstream distance of 480 km on Saturday, this gives an upstream speed of 20 kmph.

To cover 125 km at this speed, it would take 6.25 hours, or we can say, 6 hours and 15 minutes.

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