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Chandan travelled equal distance with speed of 3 km/hr, 4 km/hr and 8 km/hr and takes a total time of 42.5 minutes. Find the total distance in km.
- A4
- B2
- C1
- D3
Answer not set
Discussion 1
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CCommunity
Let the total distance be ‘x’ km.
Chandan travelled equal distance.
⇒ He travelled (x/3) km each time.
We know that,
Time = Distance/Speed
⇒ Total time taken = [(x/3)/3] + [(x/3)/4] + [(x/3)/8]
⇒ 42.5 min = (x/9) + (x/12) + (x/24)
⇒ 42.5/60 = 17x/72 (? 1 hr = 60 min)
⇒ x = (17/24) × (72/17) = 3 km
∴ The total distance = 3 km
Chandan travelled equal distance.
⇒ He travelled (x/3) km each time.
We know that,
Time = Distance/Speed
⇒ Total time taken = [(x/3)/3] + [(x/3)/4] + [(x/3)/8]
⇒ 42.5 min = (x/9) + (x/12) + (x/24)
⇒ 42.5/60 = 17x/72 (? 1 hr = 60 min)
⇒ x = (17/24) × (72/17) = 3 km
∴ The total distance = 3 km