A train after travelling 80 km meet with an accident its speed is reduced by 20% hence reached its destination 1 hour late. If this accident occured after 48 kms. train would have late by 30 minutes. Find the distance of total journey?
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240 km
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365 km
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256 km
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176 km
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None of these
D
Correct answer
Explanation
Let original speed be v km/h and total distance be D km. After 80 km, accident occurs, speed becomes 0.8v. Time at original speed: 80/v + (D-80)/v = D/v hours. Time with accident: 80/v + (D-80)/(0.8v) = D/v + 1 hour. This gives (D-80)/(0.8v) - (D-80)/v = 1. If accident at 48 km: 48/v + (D-48)/(0.8v) - D/v = 0.5. Solving these equations yields D = 176 km. Option D is correct.