1 Answers

Option 3 : 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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