Janet has 60 miles to travel and drives at 40 m/h. Bill has 80 miles to travel and also drives at 40 m/h. (a) How long does Janet's journey take? (b) How much longer does Bill spend driving than Janet?

Mathematics
Janet has 60 miles to travel and drives at 40 m/h. Bill has 80 miles to travel and also drives at 40 m/h. (a) How long does Janet's journey take? (b) How much longer does Bill spend driving than Janet?

ScanSolve AI Answer

Answer

1.5 hours

Step 1 (a): Use the formula for time.
t=dvt = \frac{d}{v}
where dd is distance in miles and vv is speed in mph.

For Janet: d=60d = 60 miles, v=40v = 40 mph.
tJ=6040=1.5hourst_J = \frac{60}{40} = 1.5 hours

Janet's journey takes 1.5hours\boxed{1.5 hours}.

Step 2 (b): First find Bill's time.
For Bill: d=80d = 80 miles, v=40v = 40 mph.
tB=8040=2hourst_B = \frac{80}{40} = 2 hours

Difference:
tBtJ=21.5=0.5hourst_B - t_J = 2 - 1.5 = 0.5 hours

Bill spends 0.5hours\boxed{0.5 hours} longer driving than Janet.

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Quick Answer

Step 1 (a): Use the formula for time. t = (d)/(v) where d is distance in miles and v is speed in mph.

Janet has 60 miles to travel and drives at 40 m/h. Bill has 80 miles to travel and also drives at 40 m/h. (a) How long does Janet's journey take? (b) How much longer does Bill spend driving than Janet?
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1 (a): Use the formula for time. t = (d)/(v) where d is distance in miles and v is speed in mph. For Janet: d = 60 miles, v = 40 mph. t_J = (60)/(40) = 1.5 hours Janet's journey takes 1.5 hours. Step 2 (b): First find Bill's time. For Bill: d = 80 miles, v = 40 mph. t_B = (80)/(40) = 2 hours Difference: t_B - t_J = 2 - 1.5 = 0.5 hours Bill spends 0.5 hours longer driving than Janet.