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A boatman rows down the stream for 1 hour and covers a distance of 4 kilometres. The boatman takes rest for 1 hour after every 2 hours of rowing. The boatman rows from Ramkrishnapur to Babughat and comes back. The distance between the two places is 12 kilometres. If the boatman charges Rs 100 every time it goes from one place to the other after completing the trip, find his daily income if he works for 15 hours daily. Speed of the stream is 1 km\hr. His 1st trip is from Ramkrishnapur to Babughat which is down the stream.

A boatman rows down the stream for 1 hour and covers a distance of 4 kilometres. The boatman takes rest for 1 hour after every 2 hours of rowing. The boatman rows from Ramkrishnapur to Babughat and comes back. The distance between the two places is 12 kilometres. If the boatman charges Rs 100 every time it goes from one place to the other after completing the trip, find his daily income if he works for 15 hours daily. Speed of the stream is 1 km\hr. His 1st trip is from Ramkrishnapur to Babughat which is down the stream. Correct Answer Rs. 200

Given:

1st trip downstream

Speed of boatman downstream = 4km/hr

Speed of stream = 1km/hr

Concept:

Speed during downstream = speed in still water + speed of stream

Speed during upstream = speed in still water – speed of stream

Formula:

Time = distance/speed

Calculation:

Speed in still water = speed downstream – speed of stream

⇒ Speed in still water = 4 – 1

⇒ Speed in still water = 3 km/hr

Speed upstream = speed in still water – speed of stream

⇒ Speed upstream = 3 – 1

⇒ Speed upstream = 2 km/hr

1st trip :

Distance = 12 km

Speed = 4 km/hr

⇒Time = distance/speed

⇒ Time = 12/4

⇒ Time = 3 hrs

1 stop after every 2 hrs

⇒ Total time = 3 + 1

⇒ Total time = 4 hrs

2nd trip :

Distance = 12 km

Speed = 2 km/hr

⇒ Time = 12/2

⇒ Time = 6 hrs

1 stop after every 2 hrs

⇒ Total stops = 3

⇒ Total time = 6 + 3

⇒ Total time = 9 hrs

After two trips total time lapsed = 9 hrs + 4 hrs

Total time lapsed = 13 hrs

Though he has 2 hours left from his 15 hours but he won’t be able to complete a trip.

Number of trips completed = 2

⇒ Total income = 2 × 100

∴ Total Income = Rs 200

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