A man travelled a distance of 50 km in 8 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 7 km/hr. What is the distance (in kms) travelled on foot?
A man travelled a distance of 50 km in 8 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 7 km/hr. What is the distance (in kms) travelled on foot? Correct Answer 15
Let distance travelled on foot be ‘x’ km
Distance travelled on bicycle = (50 - x) km
Total time taken = time taken by foot + time taken on bicycle
⇒ 8 = x/5 + (50 - x)/7
⇒ 8 × 35 = 7x + 5(50 - x)
⇒ 280 = 7x + 250 - 5x
⇒ 2x = 280 - 250 = 30
⇒ x = 30/2 = 15 km
∴ Distance travelled on foot = 15 km
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Feb 20, 2025