contestada

Ranjit is journeying by foot and on horseback to a remote place. She can travel 3 miles in an hour on foot or 7 miles in an hour on horseback. After 10 hours, she has traveled 46 miles. How many hours has she traveled on foot and on horse

Respuesta :

BekaJ
6 hours walking and 4 hours on horseback

Answer with Step-by-step explanation:

Ranjit can travel 3 miles in an hour on foot or 7 miles in an hour on horseback.

Let she traveled x hours on foot and y hours on horseback.

distance traveled by Ranjit on foot in x hours=3x

distance traveled by Ranjit on horseback in y hours=7y

After 10 hours, she has traveled 46 miles.

⇒ x+y=10

and  3x+7y=46

3(x+y)-(3x+7y)=3(10)-46

⇒ 3x+3y-3x-7y=30-46

Combining like terms,we get

-4y= -16

Dividing both sides by-4, we get

y=4

x+y=10

⇒ x+4=10

⇒ x=6

Hence,Ranjit traveled 6 hours on foot and 4 hours on horseback.

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