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A boat travels from Point A to Point B in the direction of water and then returns to Point A. In still water, the boat travels at a
speed of 28 kilometres per hour. If the speed of the water current is 4 kilometres per hour and the time taken for the round-trip is 2
hours and 55 minutes, what is the total distance travelled by the boat in the round trip?
  • a)
    40 kilometres
  • b)
    71 kilometres
  • c)
    80 kilometres
  • d)
    82 kilometres
  • e)
    86 kilometres
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A boat travels from Point A to Point B in the direction of water and t...
Given data:
Speed of the boat in still water = 28 km/h
Speed of the water current = 4 km/h
Total time taken for the round trip = 2 hours 55 minutes = 2.92 hours

Let the distance between point A and point B be d km.
Speed of the boat downstream = (28 + 4) km/h = 32 km/h
Speed of the boat upstream = (28 - 4) km/h = 24 km/h
Let the time taken by the boat to travel from A to B (downstream) be t1 hours.
Then, the time taken by the boat to travel from B to A (upstream) will be (2.92 - t1) hours.

Using the formula, distance = speed × time, we can write:
Distance downstream = 32t1 km
Distance upstream = 24(2.92 - t1) km

Total distance travelled by the boat in the round trip = Distance downstream + Distance upstream
= 32t1 + 24(2.92 - t1) km
= 32t1 + 70.08 - 24t1 km
= 8t1 + 70.08 km

Now, we need to find the value of t1.
Using the formula, distance = speed × time, we can write:
d = 28t1 + 4t1 (distance = speed downstream × time downstream)
=> d = 32t1
=> t1 = d/32

Substituting the value of t1 in the expression for total distance, we get:
Total distance travelled by the boat in the round trip = 8(d/32) + 70.08 km
= 0.25d + 70.08 km

We need to find the value of d.
Total time taken for the round trip = time downstream + time upstream
=> 2.92 = t1 + (2.92 - t1)
=> 2.92 = 2 × 2.92 - t1
=> t1 = 2.92 - 1.46 = 1.46 hours

Substituting the value of t1 in the expression for distance, we get:
d = 28 × 1.46 + 4 × 1.46 = 40.88 km

Substituting the value of d in the expression for total distance, we get:
Total distance travelled by the boat in the round trip = 0.25 × 40.88 + 70.08 km
= 10.22 + 70.08 km
= 80.3 km (approx.)

Hence, the correct option is (c) 80 km.
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A boat travels from Point A to Point B in the direction of water and t...
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A boat travels from Point A to Point B in the direction of water and then returns to Point A. In still water, the boat travels at aspeed of 28 kilometres per hour. If the speed of the water current is 4 kilometres per hour and the time taken for the round-trip is 2hours and 55 minutes, what is the total distance travelled by the boat in the round trip?a)40 kilometresb)71 kilometresc)80 kilometresd)82 kilometrese)86 kilometresCorrect answer is option 'C'. Can you explain this answer?
Question Description
A boat travels from Point A to Point B in the direction of water and then returns to Point A. In still water, the boat travels at aspeed of 28 kilometres per hour. If the speed of the water current is 4 kilometres per hour and the time taken for the round-trip is 2hours and 55 minutes, what is the total distance travelled by the boat in the round trip?a)40 kilometresb)71 kilometresc)80 kilometresd)82 kilometrese)86 kilometresCorrect answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A boat travels from Point A to Point B in the direction of water and then returns to Point A. In still water, the boat travels at aspeed of 28 kilometres per hour. If the speed of the water current is 4 kilometres per hour and the time taken for the round-trip is 2hours and 55 minutes, what is the total distance travelled by the boat in the round trip?a)40 kilometresb)71 kilometresc)80 kilometresd)82 kilometrese)86 kilometresCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat travels from Point A to Point B in the direction of water and then returns to Point A. In still water, the boat travels at aspeed of 28 kilometres per hour. If the speed of the water current is 4 kilometres per hour and the time taken for the round-trip is 2hours and 55 minutes, what is the total distance travelled by the boat in the round trip?a)40 kilometresb)71 kilometresc)80 kilometresd)82 kilometrese)86 kilometresCorrect answer is option 'C'. Can you explain this answer?.
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