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.
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

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Answer
1.5 hours
Step 1 (a): Use the formula for time.
where is distance in miles and is speed in mph.
For Janet: miles, mph.
Janet's journey takes .
Step 2 (b): First find Bill's time.
For Bill: miles, mph.
Difference:
Bill spends 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.
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.