The Fare That Never Catches Up

20-hikoya, jami 40 ta

Hikoyani tinglang

Highlighted words are key vocabulary — tap one to see its translation. Colors show the part of speech:

Verb Adjective Adverb Expression

Two taxi firms work the road between the town and the airport, and a local newspaper spent a whole column comparing them last spring.

The first firm charges 5,000 som to come to your door, then 1,200 som for each kilometre. The second charges 10,000 som to come out, then — and this is the part that surprised the paper's readers — also 1,200 som a kilometre.

Everybody assumed there would be a distance at which the second firm became the better choice. There is not. For a ten-kilometre trip the first firm asks 17,000 som and the second asks 22,000. For a fifty-kilometre trip the first asks 65,000 and the second asks 70,000. The difference is 5,000 som at ten kilometres and 5,000 som at fifty, because the two firms charge the same for every kilometre travelled: only the call-out fee differs, and a fee you pay once does not shrink with distance.

Drawn on a chart, the two fares are two straight lines climbing at exactly the same steepness, one always five thousand som above the other. The gap stays the same, so the lower line never catches up with the upper one, and there is no crossing point.

The column ended with a sentence the editor liked enough to put in bold: a cheaper rate can be caught up with, but a cheaper starting fee, at the same rate, never can.

Matndagi atamalar

Kartani bosing — taʼrifi chiqadi.

column
maqola
readers
oʻquvchilar
assumed
deb oʻyladi
choice
tanlov
trip
safar
call-out fee
chaqiruv haqi
chart
grafik
steepness
tiklik
crossing point
kesishish
editor
muharrir
bold
qalin harflar
rate
haq, toʻlov

Qoida va formulalar

Matnda ishlatilgan matematik qoida.

catch up with

Yetib olmoq. Ikki narx tenglashishi uchun biri ikkinchisidan tezroq oʻsishi kerak.

  • The cheaper fare never catches up with the dearer one.

the gap stays the same

Oraliq oʻzgarmaydi. Parallel chiziqlarning kundalik tildagi taʼrifi.

  • However far you travel, the gap stays the same.

break-even point

Tenglashish nuqtasi — ikki narx teng boʻladigan joy. Bu misolda u umuman yoʻq.

  • People kept looking for a break-even point that does not exist.

Tekshirib koʻring

Matnni oʻqing, keyin hisoblang. Javobni bosib tekshiring.

1. What does a twenty-kilometre trip cost with the first firm?

2. By how much do the two firms' fares differ on a forty-kilometre trip?

3. Why is there no distance at which the two firms cost the same?