Question

1. A man having ten hours at his disposal made an excursion, riding out at the rate of
10 miles an hour and returning on foot, at the rate of 3 miles an hour. Find the
distance he rode.​

Answer 1

Answer:

D = 300/13 miles

Step-by-step explanation:

10t = 30 -3t

+3t +3t

13t/13 = 30/13

t = 30/13

d = 10(30/13)

d = 300/13 miles

Answer 2

Given:

Total time = 10 hours

Riding out rate = 10 miles / hr

Returning rate = 3 miles / hr

To find :

The total distance ride by the man

Solution:

Let the distance of riding out and returning by the man are same.

If 'x' be the total distance he ride out. Then, the returning distance will also be 'x'.

Total time is 10 hours.

Therefore,

$\frac{x}{10} +\frac{x}{3} =10$

$\frac{3x+10x}{10(3)}$ = 10

$\frac{13x}{30}$ = 10

13x = 10 × 30

13x = 300

x = $\frac{300}{13}$

x = 23.077 miles

The distance he rode is 23.077 miles

Final answer:

The total distance rode by the man is 23.077 miles