Question

Raman covers 3/8 of his journey by bus, 2/5 of it by other bus and walks the rest of the distance. If he walks 7/2 km, how much distance did he cover by bus?

Answer 1

Answer:

217/18km

Step-by-step explanation:

let total distance covered = x

now , distance covered by 1st bus = (3/8)x

distance traveled by 2nd bus = (2/5)x

distance covered by walking = 7/2 km

total distance = x = (3x/8) + (2x/5) + 7/2

=> x - (3x/8) - (2x/5) = 7/2

=> x (1 - 3/8 - 2/5) = (7/2)

=> x ( 40 -3(5) - 2(8) ) ÷ 40 = 7/2......{taking LCM}

=> x (40-15-16) = 7×40/2

=> x ( 9 ) = 140

=> x = 140/9

=> distance covered by bus = total distance - distance covered by walking

=> distance covered by bus = 140/9 - 7/2

=> distance covered by bus = (280-63)/18

=> distance covered by bus = 217/18km