An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To…
2023
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of?
Answer: D. D. 720 kmph — Step-by-Step SolutionTo find the required speed to cover a certain distance in a specific amount of time, we first determine the total distance and then apply…
- A.
A. 300 kmph
- B.
B. 360 kmph
- C.
C. 600 kmph
- D.
D. 720 kmph
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Correct answer: D
Step-by-Step Solution
To find the required speed to cover a certain distance in a specific amount of time, we first determine the total distance and then apply the speed formula.
Calculate the total distance:
Speed = 240 kmph
Time = 5 hours
Distance = Speed × Time = 240 × 5 = 1200 km.
Determine the new time:
New Time = 1 2/3 hours
Convert the mixed fraction to an improper fraction: 1 2/3 = (1 × 3 + 2) / 3 = 5/3 hours.
Calculate the required speed:
Speed = Distance / Time
Speed = 1200 / (5/3)
Speed = 1200 × (3/5)
Speed = 240 × 3 = 720 kmph.