Question

Priya, and Jibran take 1 hour and 10 minutes working together to deliver all newspapers on their route. Priya, when working alone, can finish the delivery route 5 minutes faster than Jibran. How many minutes does it take each person to complete the route if they worked alone

Answer 1

Answer:

Priya takes 32 minutes and 30 seconds to complete the route and Jibran takes 37 minutes and 30 seconds to complete the route.

Step-by-step explanation:

We have that Priya (P) and Jibran (J) take 1 h + 10 min working together:

$P + J = 60min + 10min = 70 min$    (1)

Also, Priya can finish the delivery 5 minutes faster than Jibran:

$P = J - 5$    (2)  

By entering equation (2) into (1) we have:

$(J - 5) + J = 70 min$

$2J = 75 min$

$J = 37.5 min = 37 min + 30 s$

Hence, Jibran takes 37 minutes and 30 seconds to complete the route.

Now, by entering J into equation (2):

$P = 37 min + 30 s - 5 min = 32 min + 30s$

Therefore, Priya takes 32 minutes and 30 seconds to complete the route.

I hope it helps you!