A person leaves his house and travelling at 4 km/hr reaches his office 10 minutes late. Had he travelled at 6 km/hr, he would have reached 20 minutes early. Find the distance from his house to the office.
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4
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40 km
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4=D/(T+10/60)---(1)
4=D/(T+10/60)---(1)7=D/(T-20/60)---(2)
4=D/(T+10/60)---(1)7=D/(T-20/60)---(2)Simplifies form : 24T-6D=-4 -----(3)
4=D/(T+10/60)---(1)7=D/(T-20/60)---(2)Simplifies form : 24T-6D=-4 -----(3)21T-3D=7-------(4)
4=D/(T+10/60)---(1)7=D/(T-20/60)---(2)Simplifies form : 24T-6D=-4 -----(3)21T-3D=7-------(4)Solving (3) and (4)
4=D/(T+10/60)---(1)7=D/(T-20/60)---(2)Simplifies form : 24T-6D=-4 -----(3)21T-3D=7-------(4)Solving (3) and (4)T=1, D=14/3
4=D/(T+10/60)---(1)7=D/(T-20/60)---(2)Simplifies form : 24T-6D=-4 -----(3)21T-3D=7-------(4)Solving (3) and (4)T=1, D=14/3Answer is a) 14/3
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