Tom and Beth each drove from Smallville to Crown City by different routes. Tom drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Tom to complete the trip. How many miles per hour was Beth's average speed on this trip? Choose the most appropriate option:	A) 24	B) 30	C) 48	D) 54	E) 75
Speed = Distance/Time   Distance for Tom = Speed * Time = 40 * 1/2= 
<gadget id="calculator">40 * 1/2</gadget>
<output>20</output>
20 miles   Distance for 30eth= Distance for Tom +5 = 20+5= 
<gadget id="calculator">20+5</gadget>
<output>25</output>
25 miles   Time taken by 30eth= Time taken by Tom + (1/3 hour) = 1/2+1/3 = 5/6   Speed of 30eth = D/T = 25/(5/6) = 25*6/5= 
<gadget id="calculator">25*6/5</gadget>
<output>30</output>
30 miles per hour   Hence, 30 is the answer.
<result>B</result>
Tom and Beth each drove from Smallville to Crown City by different routes. Tom drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than Tom to complete the trip. How many miles per hour was Beth's average speed on this trip?