a train leaves New Delhi for Ludhiana 324 km away at 9 a.m. another train leaves Ludhiana for New Delhi one hour later.they met at noon.if the the second train has started at 9:00 a.m. and the first train at 10:30 a.m. they still have met at noon find the speed of each train
Answers
Speed of train leaving Delhi = 54 km/hr & Speed of Train leaving Ludhiana = 81 km/hr
Step-by-step explanation:
a train leaves New Delhi for Ludhiana 324 km away
Distance between Ludhiana & delhi = 324 km
Let say speed of Train leaving Delhi = D km/hr
& Speed of Train leaving Ludhiana = L km/hr
Train from Delhi leaves at 9 :00 am & Train from Ludhiana leaves after 1 hr (9 + 1 = 10 : 00 am) Meets at Noon = 12 : 00 PM
Train from delhi traveled for 3 hrs
Train from ludhiana travelled fro 2 hrs
3D + 2L = 324 Eq1
the the Ludhiana train has started at 9:00 a.m. and the Delhi train at 10:30 a.m and have met at noon
Train from delhi traveled for 1.5 hrs
Train from Ludhiana travelled fro 3 hrs
1.5D + 3L = 324 Eq2
2 * Eq2 - Eq1
=> 4L = 324
=> L = 81
3D + 2 * 81 = 324
=> 3D = 162
=> D = 54
Speed of train leaving delhi = 54 km/hr
Speed of Train leaving ludhiana = 81 km/hr
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