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