Answer:
Distance between NJH and Jack's home = 7.10 miles
Distance between NJH and Finn's home = (14-7.10) = 6.9 miles
Step-by-step explanation:
Given:
Jack lives east of NJH and Finn lives west of NJH.
Distance between Jack and Finn's home = 14 miles
Average speed of Jack = 7 mph
Average speed of Finn = 9 mph
Let the distance between Jack's house and NJH is '(x)' miles.
So the distance between Finn's house and NJH is '(14-x)' miles.
According to the question:
Time taken by both Finn and Jack are equal to reach home.
Considering is the time taken by Jack and
is the time taken by Finn to reach home.
So,
⇒
We have to find the time taken.
⇒ Time taken by Jack. ⇒ Time taken by Finn.
⇒ ⇒
⇒ mph ⇒
mph <em> ...15 min extra </em>
Equating both and
:
⇒
⇒
⇒
⇒
⇒ Cross multiplying.
⇒
⇒
⇒
⇒
⇒
⇒ miles
Distance between NJH and Jack's home = (x) = 7.10 miles
Distance between NJH and Finn's home = (14-x) = (14-7.10) = 6.9 miles