SOLUTION: two lorries A and B ferry goods between two towns which are 3120km apart.lorry A travelled at 5km/hr faster than lorry B, and lorry b takes 4hrs more than lorry A to Cover the dist
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Question 1100750: two lorries A and B ferry goods between two towns which are 3120km apart.lorry A travelled at 5km/hr faster than lorry B, and lorry b takes 4hrs more than lorry A to Cover the distance. calculate the speed of lorry B?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let k be the speed of lorry B, and k+5 be the speed of lorry A. Then:
3120/k -4=3120/k+5
3120(k+5) -4(k)(k+5)=3120k
3120k+15600-4k²-20k=3120k
4k²+20k-15600=0
k²+5k-3900=0
(k-60)(k+65)=0
k=-65 or 60
We get a positive value of 60 kph for the speed of lorry B; and 65 kph for lorry A
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