Answer:
The answers to the question are as follows
The average speed of the aircraft = 112 miles/hr and
the average speed of the van= 57 miles/hr
Explanation:
Speed of the van = X
Speed of the aircraft = Y = 2 × X - 2 miles/hour
Distance covered by van in time t = 171 miles
Distance covered by aircraft in time t = 336 miles
Therefore Y × t = 336 miles and
X × t = 171 miles
Therefore (2·X -2) × t = 336 miles
and t = (171 miles)/X
(2·X -2) × (171 miles)/X = 336 miles
(342·X-342)/X =336 → 6·X = 342
Therefore X = 57 miles/hour
and Y =2×57 -2 = 112 miles/hr
