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