Question

A person travelled a distance of 30 km in 8 hrs. he travelled partly on foot at the rate of 3km/h and partly on bicycle. at the rate of 5km/h.the distance travelled on foot is

Answer 1

x/3 + 30-x/5 = 8
(5x + 90-3x)/15 = 8
90+2x= 120
2x = 30
x = 15km

Answer 2

The distance travelled on foot is 15 km/h.

Step-by-step explanation:

Given:

A person travelled a distance of 30 km in 8 hrs.

He travelled partly on foot at the rate of 3 km/h and partly on bicycle at the rate of 5 km/h

Let x be distance travelled by foot.

⇒ $\frac{x}{5} +\frac{(50-x)}{7} =8$

⇒ $\frac{7x+250-5x}{35}=8$

⇒ $\frac{2x+250}{35}=8$

⇒ $2x+250=8\times 35$

⇒ 2x = 280 - 250

⇒2x = 30

⇒ $x=\frac{30}{2}$

⇒ x = 15

Hence the distance travelled on foot is 15 km/h.