Ans is E but im getting 75. can someone pls explain

Martina has planned a bike ride so that exactly halfway there is a restaurant where to

stop. She leaves and, after 30 kilometers, she still has a quarter of the way to get to

the restaurant. What is the length of the route in kilometers?

A) 40

B) 120

C) 75

D) 37.5

E) 80

Ok, so :

1/ The restaurant is halfway → 50%, so the total length is 2x the length to get to the restaurant.

2/ There is a quarter of the ride left to the restaurant when she did 30 Km :

so 30 km = 3/4

If you divide both sides by 3 → 30/3 = 10 and (3/4)/3 = 1/4.

So we know 1/4 = 10 km and 4/4 = 40 km. That is the length to the restaurant.

As the restaurant is only halfway to the end, we can find the total length : 2x40 = 80 Km.

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