Question

A traveller covers 2/15 of the total distance by train, 9/3 of the total distance by bus and the 10 km on bicycle. Find the total distance that he covers.
a) 15.6
b) 12.8
c) 26 km
d) 16.4
Explain step by step ​

Answer 1

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

\begin{gathered}\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\end{gathered}

⟹

15

2x

+

20

9x

+10=x

⟹

60

8x+27x+600

=x

⟹35x+600=60x

⟹25x=600

⟹x=24

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