A taxi in Chennai charges a fixed amount plus a rate per km. For 10 km it cost Rs 150 (f + 10r = 150) and for 5 km it cost Rs 90 (f + 5r = 90). Use substitution to find the per-km rate r (in Rs).

Question

Accepted Answer

12. From f + 5r = 90, f = 90 - 5r. Substitute into f + 10r = 150: (90 - 5r) + 10r = 150, 90 + 5r = 150, 5r = 60, r = 12 Rs/km.

A taxi in Chennai charges a fixed amount plus a rate per km.
For 10 km it cost Rs 150 $(f + 10 r = 150)$ and for 5 km it cost Rs 90 $(f + 5 r = 90)$ .
Use substitution to find the per-km rate $r$ (in Rs).

Step-by-Step Solution

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More Class 10 Substitution Method practice

A taxi in Chennai charges a fixed amount plus a rate per km.For 10 km it cost Rs 150 (f+10r=150) and for 5 km it cost Rs 90 (f+5r=90).Use substitution to find the per-km rate r (in Rs).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Substitution Method practice

A taxi in Chennai charges a fixed amount plus a rate per km.
For 10 km it cost Rs 150 $(f + 10 r = 150)$ and for 5 km it cost Rs 90 $(f + 5 r = 90)$ .
Use substitution to find the per-km rate $r$ (in Rs).