One evening Amal and Hana both drive to a concert in a city that lies between their home towns. Together they drive a total of 297 miles to the concert. Amal drives an average speed of 5 miles per hour faster than Hanna. If Amal and Hanna both arrive at the concert after 3 hours, what is the average speed of Amal's car? A. 57 mph B. 47 mph C. 59 mph D. 52 mph
Does the D=rt equation work with this problem? 
One evening Amal and Hana both drive to a concert in a city that lies between their home towns. Together they drive a total of 297 miles to the concert. Amal drives an average speed of 5 miles per hour faster than Hanna. If Amal and Hanna both arrive at the concert after 3 hours, what is the average speed of Amal's car? A. 57 mph B. 47 mph C. 59 mph D. 52 mph
Let Hanna's average speed=H, the Amal average speed=H+5, but we have,
3H + 3(H+5)=297
3H + 3H + 15=297
6H=297 - 15
6H=282 divide both sides by 6
H=282/6
H=47 miles average speed of Hanna,but we have
47+5=52 miles average speed of Amal.
