A train covered a certain distance at a uniform speed If the train would have been 10 km/h faster, - Maths - Pair of Linear Equations in Two Variables

Question

A train covered a certain distance at a uniform speed If the
train would have been 10 km/h faster, it would have taken 2 hours
less than the scheduled time And if the train were slower by 10
km/h; it would have taken 3 hours more than the scheduled time Find
the distance covered by the train

Gopal Mohanty · Accepted Answer

Let the speed of the train be x km/h and the time taken by train to travel the given distance be t hours and the distance to travel was d km We know that,

Or, d = xt (i) Using the information given in the question, we obtain

By using equation (i), we obtain − 2x + 10t = 20 (ii)

By using equation (i), we obtain 3x − 10t = 30 (iii) Adding equations (ii) and (iii), we obtain x = 50 Using equation (ii), we obtain (−2) × (50) + 10t = 20 −100 + 10t = 20 10t = 120 t = 12 hours From equation (i), we obtain Distance to travel = d = xt = 50 × 12 = 600 km Hence, the distance covered by the train is 600 km

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.