John and Beth each drove from Smallville to Crown City by different routes. John 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 John to complete the trip. How many miles per hour was Beth's average speed on this trip?
Select
A) 24  B) 30  C) 48  D) 54  E) 75
Speed = Distance/Time   Distance for John = Speed * Time = 40 * 1/2= 
<gadget id="calculator">40 * 1/2</gadget>
<output>20</output>
20 miles   Distance for 30eth= Distance for John +5 = 20+5= 
<gadget id="calculator">20+5</gadget>
<output>25</output>
25 miles   Time taken by 30eth= Time taken by John + (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>
John and Beth each drove from Smallville to Crown City by different routes. John 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 John to complete the trip. How many miles per hour was Beth's average speed on this trip?