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As a completely independent method, the measurement of time delay of stronglylensed quasars (TDSL) are crucial to resolve the Hubble tension. Extensivemonitoring is required but so far limited to a small sample of strongly lensedquasars. Together with several partner institutes, Beijing Normal University isconstructing a 1.93m reflector telescope at the Muztagh-Ata site in west China,which has the world class observing conditions. The telescope will be equippedwith both a three-channel imager/photometer which covers $3500-11000$ Angstromwavelength band, and a low-medium resolution($\lambda/\delta\lambda=500/2000/7500$) spectrograph. In this paper, weinvestigate the capability of Muztagh-Ata 1.93m telescope in measuring timedelays of strongly lensed quasars. We generate mock strongly lensed quasarsystems and light curves with microlensing effects based on five known stronglylensed quasars, i.e., RX J1131-1231, HE 0435-1223, PG 1115+080, WFI 2033-4723and SDSS 1206+4332. In particular, RX J1131-1231 is generated with lensmodeling in this work. Due to lack of enough information, we simulate the other4 systems with the public data without lens modeling. According to simulations,for RX J1131-like systems (wide variation in time delay between images) theTDSL measurement can be achieved with the precision about $\Delta t=0.5$ daywith 4 seasons campaign length and 1 day cadence. This accuracy is comparableto the up-coming TDCOSMO project. And it would be better when the campaignlength keeps longer and with high cadence. As a result, the capability ofMuztagh-Ata 1.93m telescope allows it to join the network of TDSLobservatories. It will enrich the database for strongly lensed quasarobservations and make more precise measurements of time delays, especiallyconsidering the unique coordinate of the site.

Forecast of observing time delay of the strongly lensed quasars with Muztagh-Ata 1.93m telescope