Sonia drove 1 hour longer than Neha at an average speed 4 kilometers
per hour faster than Neha. Archana drove 2 hours longer than Neha at an average speed 8 kilometers per hour faster than Neha. If Sonia drove 60 kilometers more than Neha, then how many more kilometers did Archana drive than Neha?
Hi Kes 1968:)
Let Neha travel at N km/hr for T hours. So she will travel a total distance of N*T km
Sonia drives at (N+4) km/hour for (T+1) hour. So she will travel a total of (N+4)(T+1) km
Sonia drives 60km more than Neha so
(N+4)(T+1) - NT = 60
NT+N+4T+4-NT=60
N+4T+4=60
N+4T=56 (1)
Archana drives at (N+8)km/hr for (T+2) hours. So she travels a total of (N+8)(T+2) km
she will drive (N+8)(T+2) - NT further than Neha
(N+8)(T+2) - NT
=NT+2N+8T+16-NT
=2N+8T+16
=2(N+4T)+16
sub in (1)
=2*56+16
=112+16
=128km
Archan will drive 128km further than Neha
Hi Kes 1968:)
Let Neha travel at N km/hr for T hours. So she will travel a total distance of N*T km
Sonia drives at (N+4) km/hour for (T+1) hour. So she will travel a total of (N+4)(T+1) km
Sonia drives 60km more than Neha so
(N+4)(T+1) - NT = 60
NT+N+4T+4-NT=60
N+4T+4=60
N+4T=56 (1)
Archana drives at (N+8)km/hr for (T+2) hours. So she travels a total of (N+8)(T+2) km
she will drive (N+8)(T+2) - NT further than Neha
(N+8)(T+2) - NT
=NT+2N+8T+16-NT
=2N+8T+16
=2(N+4T)+16
sub in (1)
=2*56+16
=112+16
=128km
Archan will drive 128km further than Neha