Question

Abdul travelled 300 km by train and 200 km. by taxi, it foot
him 5 hours 30 minutes. But if he travel 260 km. by train
and 240 km. by taxi he takes 6 minutes longer. Find the
speed of the train and that of the taxi. (100, 80)
​

Answer 1

Step-by-step explanation:

300*train+200*taxi=5*(60minutes)+30minutes

260*train+240*taxi=5*(60minutes)+30minutes+ 6minutes

solve the above linear equations

subtracting equations and re arranging

40taxi= 40 train+6 minutes

multiply this by 5

200taxi=200train+30minutes

substitute in first equation

300 train+200 train+30 minutes=5 * 60+ 30 minutes

solving

500 train = 5 * 60 minutes

100 train = 60 minutes

this implies the train will cover 100km in 1 hour

implies speed of train is 100km per hour

thus 300 train = 3 * 60 minutes

substituting in first equation

3*60 minutes +200taxi= 5*60+30 minutes

200 taxi = 2*60 + 30 minutes

divide by 10

20 taxi = 2*6 + 3 minutes

20 taxi = 15 minutes

multiply by 4

80 taxi = 60 minutes = 1 hour

implies speed of taxi is 80km per hour