Question

one forth of the total distance is covered by 100km/hr, half of the distance covered by 60km/hr and latter travels at a speed of 100km/hr. what is the total distance in 10 hours​

Answer 1

Answer:

750 km

Step-by-step explanation:

d = st (distance = speed × time) ⇒ t = d ÷ s

~~~~~~~~~~~

1 - $\frac{1}{4}$ - $\frac{1}{2}$ = $\frac{1}{4}$

( $\frac{1}{4}$ d ) ÷ 100 + ( $\frac{1}{2}$ d ) ÷ 60 + ( $\frac{1}{4}$ d ) ÷ 100 = 10

$\frac{1}{400}$ d + $\frac{1}{120}$ d + $\frac{1}{400}$ d = 10 .... (1)

(1) × 10

$\frac{2d}{40}$ + $\frac{d}{12}$ = 100 ⇔ $\frac{d}{20}$ + $\frac{d}{12}$ = 100 ⇔ $\frac{3d+5d}{60}$ = 100 ⇔ $\frac{2d}{15}$ = 100

d = $\frac{100*15}{2}$ = 750 km