Two birds start from the same nest and head off in opposite directions. The speed of the first bird is 14 mph more than the speed of the second. After 6 hours the two birds are 348 miles apart. Find the speed of each bird?

Question

Two birds start from the same nest and head off in opposite directions.   The speed of the first bird is 14 mph more than the speed of the second.   After 6 hours the two birds are 348 miles apart.   Find the speed of each bird?

zpupster · Answer

s = d / t

 speed 1 = x +14 mph
 speed 2 = x

 6 [x + (x+14) ]= 348
 6 ( 2x + 14 ) = 348
 12x + 84= 348
 12x = 348-84
 12x = 264
 x =22

 x+ 14 = 22+14
 = 36

 Hence, the speed of each bird are 22 mph and 36 mph