Question

Juliet drove from point A to point B at an average speed of 50 kmph and returned to point A along
the same route at average speed of 46 kmph. If her total driving time for the journey was 4 hours,
how many minutes did it take Juliet to drive from point B to point A?
A) 115 minutes
B) 120 minutes
C) 125 minutes
D) 130 minutes

Answer 1

Let, the distance between A and B be x km.

So, at first case, from A To B,

speed = 50 km/h

distance = x km

So, time = distance/speed

→ time (from A to B) = x/50 hr.

Now, at second case, from B to A

speed = 46 km/hr

distance = x km (as, A to B = B to A)

→ time = distance/speed

→ time (from B to A) = x/46 hr.

Now, given that total time is 4 hr

→ time (from A to B) + time (from B to A) = 4

→ x/50 + x/46 = 4

→ 46x/2300 + 50x/2300 = 4

→ 96x/2300 = 4

→ x = 4 × 2300/96

→ x = 575/6 km

So, distance between A and B is 575/6 km

Now, we have to calculate the time taken in minutes by traveling from B to A

speed = 46 km/hr

distance = x = 575/6 km

→ time = distance/speed

→ time = $\frac{575}{6} \div 46$

→ time = $\frac{575}{6} \times \frac{1}{46}$

→ time = 575/276 hrs

Now, convert it to minutes by multiplying 60

→ time = 575/276 × 60

→ time = 125 minutes

Answer :- Option C