Question

A traveller covers (2/15) of the total distance by train (9/20) of the total distance by bus and the remaining distance of 10 km on bicycle. Find the total distance that he covers ? explain step by step

Answer 1

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Answer 2

Answer:

Therefore, The total distance covered by the traveler = 24 Km

Step-by-step explanation:

Let the total distance be x Km

A traveler covers (2/15) of the total distance by train

⇒ Distance traveled by train = 2x/15

A traveler covers (9/20) of the total distance by bus

⇒ Distance traveled by bus = 9x/20

Distance traveled by bicycle = 10 Km

$\implies\frac{2x}{15} + \frac{9x}{20} + 10 = x\\\\\implies \frac{8x+27x+600}{60}=x\\\\\implies 35x+600=60x\\\\\implies 25x=600\\\\\implies x = 24$

Therefore, The total distance covered by the traveler = 24 Km