acks father drives to work in 30 min when driving at his usual speed. When traffic is bad, he drives 30mph slower and the trip takes one hour longer. How far is Jacks Fathers work from home in miles

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lillyraven3 lillyraven3 · Answer 1 · 2022-02-13T05:35:54+01:00

Answer:

Jack's fathers work is 1350 miles away from home

Step-by-step explanation:

Equation for trip 1:

Usual speed=x

Time=30 minutes

Formula for distance: d=st

d=30x

Equation for trip 2:

Speed= x-30

Time=90 minutes

d=90(x-30)

Now we solve for x using simultaneous equations:

30x=90(x-30)

x=45

Now to find d we sub in our new found value into one of the two equations (it doesn't matter which one)

d=30(45)

d=1350 miles